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12191126336 = 261516012099
BaseRepresentation
bin10110101101010010…
…11101001101000000
31011110121202101101122
423112221131031000
5144431412020321
65333414051412
7611051602244
oct132651351500
934417671348
1012191126336
115196633724
122442949b68
1311c3932b2c
14839170424
154b54258ab
hex2d6a5d340

12191126336 has 56 divisors (see below), whose sum is σ = 24404116800. Its totient is φ = 6042240000.

The previous prime is 12191126317. The next prime is 12191126341. The reversal of 12191126336 is 63362119121.

It is a super-2 number, since 2×121911263362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12191126296 and 12191126305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5807015 + ... + 5809113.

It is an arithmetic number, because the mean of its divisors is an integer number (435787800).

Almost surely, 212191126336 is an apocalyptic number.

12191126336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12191126336 is an abundant number, since it is smaller than the sum of its proper divisors (12212990464).

12191126336 is a wasteful number, since it uses less digits than its factorization.

12191126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2853 counting only the distinct ones).

The product of its digits is 11664, while the sum is 35.

The spelling of 12191126336 in words is "twelve billion, one hundred ninety-one million, one hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 151 302 601 604 1202 1208 2099 2404 2416 4198 4808 4832 8396 9616 9664 16792 19232 33584 38464 67168 90751 134336 181502 316949 363004 633898 726008 1261499 1267796 1452016 2522998 2535592 2904032 5045996 5071184 5808064 10091992 10142368 20183984 20284736 40367968 80735936 190486349 380972698 761945396 1523890792 3047781584 6095563168 12191126336